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Finding the Fourth Proportional to 10,253.12, 15,379.68 and 7,916.54

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Solution

The fourth proportional to 10,253.12, 15,379.68 and 7,916.54 is: 11,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.12 : 15,379.68 = 7,916.54 : x
  2. Step 2: Convert to fraction form
    10,253.12/15,379.68 = 7,916.54/x
  3. Step 3: Cross multiply
    10,253.12x = 15,379.68 × 7,916.54
  4. Step 4: Simplify right side
    10,253.12x = 121,753,851.91
  5. Step 5: Solve for x
    x = 121,753,851.91/10,253.12
  6. Step 6: Final answer
    x = 11,874.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.